SOLUTION: I am trying to use the pythagorean theorem on right triangles. We are supposed to do the theorem and end up with an answer in the format so it’s not a decimal (xsquare root sign y)

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Question 1106179: I am trying to use the pythagorean theorem on right triangles. We are supposed to do the theorem and end up with an answer in the format so it’s not a decimal (xsquare root sign y). I tried this problem and ended up with 277, and when trying to reduce it, failed. The triangle has a leg (9) and another leg (14). I did a^2 + b^2 =c^2 and just couldn’t get it. Please help!
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


There is nothing wrong with your answer; for this problem, the answer simply can't be simplified.

9%5E2%2B14%5E2+=+81%2B196+=+277
c%5E2+=+277
c+=+sqrt%28277%29

That is the final answer.

Answer by ikleyn(52771) About Me  (Show Source):
You can put this solution on YOUR website!
.
Step 1.  c^2 = a^2 + b^2 = 9^2 + 14^2 = 81 + 196 = 277.


Step 2.  c = sqrt%28277%29.

Answer.   c = sqrt%28277%29.